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Higher November 2018 Paper 2 Q9

EduqasHigherCurrent spec6 marksDrawing & Using GraphsSolving Quadratics

9. A sketch of a graph representing the equation \(y = 3 + 2x - x^2\) is shown below.

Sketch of the curve y = 3 + 2x − x squared on axes with x from −2 to 3 and y from −8 to 6; it crosses the x-axis at −1 and 3, the y-axis at 3, and has its highest point at (1, 4)
(a) Find the \(y\)-coordinate when \(x = 0\). [1]
(b) Find the \(y\)-coordinate when \(x = -3\). [1]
(c) Give the coordinates of the point where the sketch shows a gradient of zero. [1]
(d) Find the coordinates of all points for which \(3 + 2x - x^2 = 0\). [2]
(e) Does the point with coordinates (8·2, −47·84) lie on \(y = 3 + 2x - x^2\)?

Yes ☐    No ☐

You must show all your working to support your answer. [1]
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